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Prince Rupert’s Cube

Back in kindergarten you would have learned that you can’t fit a large block through a small hole. This seems like a fairly elementary lesson, one that you wouldn’t question without a good reason to. But Prince Rupert of the Rhine had other ideas: he was brave enough to ask whether you could fit a cube through a hole in another, equally sized cube, without cutting that cube into separate pieces. The answer is yes, you can. In fact, you can pass a cube with side length around 6% larger than the second cube through a hole in the second cube (3√2/4 to be exact). See the video to see how it’s done: